HIGHER-ORDER UNSTRUCTURED DOMAIN DECOMPOSITION METHOD FOR NAVIER-STOKES EQUATIONS

The unstructured domain decomposition method for the Navier-Stokes equ ations is described. The solution domain is covered with a union of su bdomains of arbitrary shapes with arbitrary (multiple) overlaps. Field equations are discretized using fourth-order compact scheme for curvi linear coordinate systems. Blending functions that define global fourt h-order accurate solution are introduced. The global solution is used to transfer information between the subdomains. Various numerical exam ples confirm the fourth-order accuracy of the results. The algorithm i s well suited for parallel implementations. (C) 1998 Elsevier Science Ltd. All rights reserved.